Econ – Monopoly and Deadweight

Suppose that a firm has a monopoly on a good with
the following demand schedule:

Quantity Price
0 $10
1 $9
2 $8
3 $7
4 $6
5 $5
6 $4
7 $3
8 $2
9 $1
10 $0
a. What price and quantity will the monopolist produce
at if the marginal cost is a constant $4?
b. Calculate the deadweight loss from having
the monopolist produce, rather than a perfect
competitor.